10824199735958 has 16 divisors (see below), whose sum is σ = 19154344233984. Its totient is φ = 4489299429480.

The previous prime is 10824199735939. The next prime is 10824199735961. The reversal of 10824199735958 is 85953799142801.

It is a junction number, because it is equal to n+sod(n) for n = 10824199735891 and 10824199735900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12470275760 + ... + 12470276627.

It is an arithmetic number, because the mean of its divisors is an integer number (1197146514624).

Almost surely, 2^{10824199735958} is an apocalyptic number.

10824199735958 is a deficient number, since it is larger than the sum of its proper divisors (8330144498026).

10824199735958 is a wasteful number, since it uses less digits than its factorization.

10824199735958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24940552427.

The product of its (nonzero) digits is 195955200, while the sum is 71.

The spelling of 10824199735958 in words is "ten trillion, eight hundred twenty-four billion, one hundred ninety-nine million, seven hundred thirty-five thousand, nine hundred fifty-eight".